Easy math puzzles
Poll
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53 members have voted
May 8th, 2026 at 6:42:03 PM
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Quote: Wizard
p.s. Why am I advised to capitalize Googleplex?
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I think "googolplex" is the number, and "Googleplex" is Alphabet City.
May the cards fall in your favor.
May 8th, 2026 at 9:19:01 PM
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I think that the answer depends on how the location of the portal is chosen. I assume that either path is equally likely but the probability distribution of the distance along the correct path is important (and without a rigorous definition of this we can't calculate the expected distance traveled, so we can't minimize it).
The probability distribution can't be uniform because there can't be a uniform probability distribution over an unbounded set (you can have one over an infinite set, like all the real numbers between 0 and 1, but it needs to be bounded -- there's no uniform probability distribution over all the positive reals)
The probability distribution can't be uniform because there can't be a uniform probability distribution over an unbounded set (you can have one over an infinite set, like all the real numbers between 0 and 1, but it needs to be bounded -- there's no uniform probability distribution over all the positive reals)
